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Finding the Fourth Proportional to 711.51, 981.66 and 427.80

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Solution

The fourth proportional to 711.51, 981.66 and 427.80 is: 590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.51 : 981.66 = 427.80 : x
  2. Step 2: Convert to fraction form
    711.51/981.66 = 427.80/x
  3. Step 3: Cross multiply
    711.51x = 981.66 × 427.80
  4. Step 4: Simplify right side
    711.51x = 419,954.15
  5. Step 5: Solve for x
    x = 419,954.15/711.51
  6. Step 6: Final answer
    x = 590.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.